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Simplifying 3(x + -4) + -2x = 2(x + -6) + -1z Reorder the terms: 3(-4 + x) + -2x = 2(x + -6) + -1z (-4 * 3 + x * 3) + -2x = 2(x + -6) + -1z (-12 + 3x) + -2x = 2(x + -6) + -1z Combine like terms: 3x + -2x = 1x -12 + 1x = 2(x + -6) + -1z Reorder the terms: -12 + 1x = 2(-6 + x) + -1z -12 + 1x = (-6 * 2 + x * 2) + -1z -12 + 1x = (-12 + 2x) + -1z Add '12' to each side of the equation. -12 + 12 + 1x = -12 + 2x + 12 + -1z Combine like terms: -12 + 12 = 0 0 + 1x = -12 + 2x + 12 + -1z 1x = -12 + 2x + 12 + -1z Reorder the terms: 1x = -12 + 12 + 2x + -1z Combine like terms: -12 + 12 = 0 1x = 0 + 2x + -1z 1x = 2x + -1z Solving 1x = 2x + -1z Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 1x + -2x = 2x + -2x + -1z Combine like terms: 1x + -2x = -1x -1x = 2x + -2x + -1z Combine like terms: 2x + -2x = 0 -1x = 0 + -1z -1x = -1z Divide each side by '-1'. x = z Simplifying x = z
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